New M-Eigenvalue Inclusion Sets for Fourth-Order Partially Symmetric Tensors with Applications

被引：7
|
作者：
He, Jun [1 ]
Liu, Yanmin [1 ]
Xu, Guangjun [1 ]
机构：
[1] Zunyi Normal Coll, Sch Math, Zunyi 563006, Guizhou, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 06期
关键词：
Fourth-order partially symmetric tensor; M-positive definiteness of tensor; M-eigenvalue inclusion sets; STRONG ELLIPTICITY;
D O I：
10.1007/s40840-021-01152-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The M-positive definiteness for fourth-order partially symmetric tensors plays important roles in the theory of nonlinear elasticity. Some sufficient conditions of the M-positive definiteness for fourth-order partially symmetric tensors are given based on two new M-eigenvalue inclusion sets for fourth-order partially symmetric tensors. These M-eigenvalue inclusion sets also provide upper bounds for the M-spectral radius of fourth-order partially symmetric tensors.
引用
收藏
页码：3929 / 3947
页数：19
相关论文
共 50 条
  • [41] Copositivity for a Class of Fourth-Order Symmetric Tensors Given by Scalar Dark Matter
    Yisheng Song
    Xudong Li
    Journal of Optimization Theory and Applications, 2022, 195 : 334 - 346
  • [42] Some remarks on the compressed matrix representation of symmetric second-order and fourth-order tensors
    Helnwein, P
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (22-23) : 2753 - 2770
  • [43] Identifying the Positive Definiteness of Even-Order Weakly Symmetric Tensors via Z-Eigenvalue Inclusion Sets
    Shen, Feichao
    Zhang, Ying
    Wang, Gang
    SYMMETRY-BASEL, 2021, 13 (07):
  • [44] Z-Eigenvalue Localization Sets for Even Order Tensors and Their Applications
    Sang, Caili
    Chen, Zhen
    ACTA APPLICANDAE MATHEMATICAE, 2020, 169 (01) : 323 - 339
  • [45] CANONICAL POLYADIC (CP) DECOMPOSITION OF STRUCTURED SEMI-SYMMETRIC FOURTH-ORDER TENSORS
    Koochakzadeh, Ali
    Pal, Piya
    2019 IEEE DATA SCIENCE WORKSHOP (DSW), 2019, : 305 - 309
  • [46] Two new eigenvalue localization sets for tensors and theirs applications
    Zhao, Jianxing
    Sang, Caili
    OPEN MATHEMATICS, 2017, 15 : 1267 - 1276
  • [47] NEW Z-EIGENVALUE LOCALIZATION SETS FOR TENSORS WITH APPLICATIONS
    He, Jun
    Xu, Guangjun
    Liu, Yanmin
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2022, 18 (03) : 2095 - 2108
  • [48] Further Study on Z-Eigenvalue Localization Set and Positive Definiteness of Fourth-Order Tensors
    Sun, Linxuan
    Wang, Gang
    Liu, Lixia
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (01) : 105 - 129
  • [49] Further Study on Z-Eigenvalue Localization Set and Positive Definiteness of Fourth-Order Tensors
    Linxuan Sun
    Gang Wang
    Lixia Liu
    Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 105 - 129
  • [50] Optimal Z-Eigenvalue Inclusion Intervals for Even Order Tensors and Their Applications
    Zhao, Jianxing
    ACTA APPLICANDAE MATHEMATICAE, 2021, 174 (01)
12345